A Company Makes 2 Products a and B from 2

question 35

Essay

A company makes 2 products A and B from 2 resources, labor and material. The products have the following resource requirements and produce the accompanying profits. The available quantity of resources is also shown in the table.
$\begin{array}{lccc}\text { Product } & \text { A } & \text { B } & \text { Avalable resources } \\\hline \text { Labor (hr/unit) } & 3 & 2 & 150 \\\text { Material (ounces/unit) } & 1 & 2 & 200 \\\text { Profit(\$/unit) } & 7 & 6 &\end{array}$
Management has developed the following set of goals
Goal 1: Produce approximately 40 urits of product 1
Goal 2: Produce approxinately 70 urits of product 2
Goal 3: Achieve a profit aver \$400.
Goal 4: Consume less than 150 hours of labor Formulate a goal programming model of this problem.

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Definitions:

Off-Resonance Decoupled

A technique in NMR spectroscopy used to simplify the spectrum by selectively removing couplings between nuclei.

Proton Spin Decoupled

A nuclear magnetic resonance (NMR) technique used to simplify spectra by removing proton-proton coupling interactions.

Down Field

In NMR spectroscopy, referring to shifts in resonance frequency towards lower magnetic field strengths, often indicating an electron-withdrawing environment.

Proton Spin Decoupled

A technique in NMR spectroscopy where the interactions between proton spins are removed or decoupled, simplifying the spectrum and making it easier to interpret.